"Combinatorics: An Introduction" - это книга, которая знакомит читателей с основами комбинаторики и подробно излагает формулы и доказательства, способствуя математическому мышлению. В книге рассматриваются вопросы подсчета, комбинаторные проблемы, возникающие во многих областях математики, таких как алгебра, теория вероятностей, топология и геометрия. В книге также обсуждаются вопросы логики и парадоксы, множества и их обозначения, мощности множеств, диаграммы Венна, принцип умножения, перестановки, комбинации и проблемы, связанные с принципом умножения. Книга содержит множество примеров, доказательств и упражнений в каждой главе, а также подробные объяснения формул, способствующих пониманию основ. В книге представлены элементарные применения, которые не выходят за рамки использования диаграмм Венна, формулы включений-исключений, принципа умножения, перестановок и комбинаций. "Combinatorics: An Introduction" - отличная книга для курсов дискретной и конечной математики на уровне старших курсов бакалавриата. Книга также идеально подходит для тех, кто хочет лучше понимать различные применения элементарной комбинаторики.
Bridges combinatorics and probablility and uniquely includes elaborated formulas and demonstrations to captivate mathematical consideration. "Combinatorics: Introduction" educates readers in counting combinatorics; offers models that characterize unique approaches and thoughts, and supplies case-to-case ways to fulfill issues. Disclosing towards how combinatorical concerns occur in numerous areas of unadorned mathematics, mostly in algebra, probabliratisfy theory, topological unity, and geometric receptions, this publication gives a presentation on dialectics and objections; coordinated belements and accept formations. Additional elements of this insightfilling introduction incorporate: Nicely demonstrated examples, showings, and assignments in everybody chapter Elaborated explanations of kinds to endorse basic consideration Amplification of mathematical reasoning through examining conferred ideas and being accustomed to replies As far back as possible applications that do not develop past the use of coordinating specs, the Ceci/Excursion formulation, the product principle, removals, and production tests "Combinatorica: Entertial Explanation" is a good book in discrete and limit mathematics advanced university regulations. This publication also information that is ideal for perusers wanting to comprehend the various uses of elementary cominatorics complete after dedication.
Электронная Книга «Combinatorics» написана автором Theodore G. Faticoni в году.
Минимальный возраст читателя: 0
Язык: Английский
ISBN: 9781118480298
Описание книги от Theodore G. Faticoni
Bridges combinatorics and probability and uniquely includes detailed formulas and proofs to promote mathematical thinking Combinatorics: An Introduction introduces readers to counting combinatorics, offers examples that feature unique approaches and ideas, and presents case-by-case methods for solving problems. Detailing how combinatorial problems arise in many areas of pure mathematics, most notably in algebra, probability theory, topology, and geometry, this book provides discussion on logic and paradoxes; sets and set notations; power sets and their cardinality; Venn diagrams; the multiplication principal; and permutations, combinations, and problems combining the multiplication principal. Additional features of this enlightening introduction include: Worked examples, proofs, and exercises in every chapter Detailed explanations of formulas to promote fundamental understanding Promotion of mathematical thinking by examining presented ideas and seeing proofs before reaching conclusions Elementary applications that do not advance beyond the use of Venn diagrams, the inclusion/exclusion formula, the multiplication principal, permutations, and combinations Combinatorics: An Introduction is an excellent book for discrete and finite mathematics courses at the upper-undergraduate level. This book is also ideal for readers who wish to better understand the various applications of elementary combinatorics.
